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Finding the Fourth Proportional to 970,119.20, 1,454,660.40 and 408,519.20

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Solution

The fourth proportional to 970,119.20, 1,454,660.40 and 408,519.20 is: 612,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,119.20 : 1,454,660.40 = 408,519.20 : x
  2. Step 2: Convert to fraction form
    970,119.20/1,454,660.40 = 408,519.20/x
  3. Step 3: Cross multiply
    970,119.20x = 1,454,660.40 × 408,519.20
  4. Step 4: Simplify right side
    970,119.20x = 594,256,702,879.68
  5. Step 5: Solve for x
    x = 594,256,702,879.68/970,119.20
  6. Step 6: Final answer
    x = 612,560.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.